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JEE Main
Exam
JEE Main
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Physics
Chapter
Capacitance

JEE Main · Physics · Capacitance

What is two times the energy stored in the capacitor (in μ J )...

What is two times the energy stored in the capacitor (in μJ\mu J ) between terminals ′a′' a ' and ′b′' b ' of the network (as shown in figure)?If capacitance of each capacitor is 1μF1\mu F.

What is two times the energy stored in the capacitor (in μ J ) between terminals ' a ' and ' b ' of the network (as

Correct answer

25

Step-by-step solution

Redrawing network, we get a balanced Wheatstone's network.

What is two times the energy stored in the capacitor (in μ J ) between terminals ' a ' and ' b ' of the network (as

What is two times the energy stored in the capacitor (in μ J ) between terminals ' a ' and ' b ' of the network (as

Charge on capacitor between terminals aa and bb

Q2=CV2\dfrac{Q}{2} = \dfrac{CV}{2}

Energy stored in that capacitor=12(Q2)2C= \dfrac{1}{2}\dfrac{{\left(\dfrac{Q}{2}\right)}^{2}}{C}

=Q28C= \dfrac{{Q}^{2}}{8C}

=CV28= \dfrac{{CV}^{2}}{8}

=1×10−6×1028J= \dfrac{1 \times {10}^{- 6} \times {10}^{2}}{8}J

=12.5\muJ= 12 . 5\muJ

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